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Finding the Fourth Proportional to 381.25, 571.59 and 150.02

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Solution

The fourth proportional to 381.25, 571.59 and 150.02 is: 224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.25 : 571.59 = 150.02 : x
  2. Step 2: Convert to fraction form
    381.25/571.59 = 150.02/x
  3. Step 3: Cross multiply
    381.25x = 571.59 × 150.02
  4. Step 4: Simplify right side
    381.25x = 85,749.93
  5. Step 5: Solve for x
    x = 85,749.93/381.25
  6. Step 6: Final answer
    x = 224.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.